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Finding the Fourth Proportional to 12,794.93, 17,654.67 and 7,129.54

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Solution

The fourth proportional to 12,794.93, 17,654.67 and 7,129.54 is: 9,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.93 : 17,654.67 = 7,129.54 : x
  2. Step 2: Convert to fraction form
    12,794.93/17,654.67 = 7,129.54/x
  3. Step 3: Cross multiply
    12,794.93x = 17,654.67 × 7,129.54
  4. Step 4: Simplify right side
    12,794.93x = 125,869,698.02
  5. Step 5: Solve for x
    x = 125,869,698.02/12,794.93
  6. Step 6: Final answer
    x = 9,837.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.